A lawsuit filed Monday by Protect Our Parks is seeking to block construction of the center, alleging the city of Chicago has engaged in "a short con shell game" to help the former president construct the center.

It argues the project is not a true presidential library, as it will only have a digital archive of Obama's presidential papers and not the documents themselves.

While the plan was approved by a city commission Thursday, it still has to be approved elsewhere, including the City Council.

Fox News' Robert Gearty and The Associated Press contributed to this report.

Nicole Darrah covers breaking and trending news for FoxNews.com. Follow her on Twitter at @nicoledarrah.